Extended Foldy–Lax Approximation on Multiple Scattering
DOI: https://doi.org/10.3846/13926292.2014.893454Abstract
The Foldy–Lax self-consistent system has been widely used as an efficient numerical approximation of multiple scattering of time harmonic wave through a medium with many scatterers when the relative radius of each scatterer is small and the distribution of scatterers is sparse. In this paper, an “extended” Foldy–Lax self-consistent system including both source and dipole effects as well as corrections due to the self-interacting effects will be introduced, in which the scattering amplitudes and the corrections are determined as powers of the small scaled radius. This new approach substantially improves the accuracy of the approximation of the original Foldy–Lax approach.
Keywords:
multiple scattering, extended Foldy–Lax approximation, Lippmann–Schwinger integral equation, dipole effect, self-interacting effectHow to Cite
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.